9772065800 has 384 divisors, whose sum is σ = 28695306240. Its totient is φ = 3019161600.

The previous prime is 9772065767. The next prime is 9772065841. The reversal of 9772065800 is 85602779.

It is a super-3 number, since 3×9772065800³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76945337 + ... + 76945463.

It is an arithmetic number, because the mean of its divisors is an integer number (74727360).

Almost surely, 2^9772065800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9772065800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14347653120).

9772065800 is an abundant number, since it is smaller than the sum of its proper divisors (18923240440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9772065800 is a wasteful number, since it uses less digits than its factorization.

9772065800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 9772065800 is about 98853.7596654776. The cubic root of 9772065800 is about 2137.9397442329.

The spelling of 9772065800 in words is "nine billion, seven hundred seventy-two million, sixty-five thousand, eight hundred".